document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990832>Question 990832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a difficult time with this word problem and I don't know where to start:Two cyclists, 144 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet 3 hr later, at what average speed is each cyclist traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610805 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52805)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=610805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let &nbsp;x &nbsp;be the speed of the slower cyclist.\r<BR>\n" );
document.write( "\n" );
document.write( "Then the speed of the faster cyclist is &nbsp;2x.\r<BR>\n" );
document.write( "\n" );
document.write( "For &nbsp;3&nbsp; hours the first cyclist covered the distance of &nbsp;3x, while the second cyclist covered &nbsp;3*2x = 6x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sum of these distances is exactly &nbsp;144 miles. &nbsp;Precisely. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It gives the equation \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3x + 6x = 144.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve it:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "9x = 144,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F9 ALIGN=MIDDLE  ALT=\"144%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<B>Answer</B>. &nbsp;The speed of the slower cyclist is &nbsp;16&nbsp; miles per hour. &nbsp;The speed of the second cyclist is &nbsp;2*16 = 32 miles per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );